λ
Integer Codex

8,684,521

8684521
Deficient Odd Prime

For 8,684,521, the 2 positive divisors have a total of 8,684,522. Removing 8,684,521 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8684521
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,684,522
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8684513 ← → #8684537

Radix Representation

Decimal 8684521
Binary 100001001000001111101001 (24 bits)
Octal 0o41101751
Hexadecimal 0x8483E9

Divisor Catalog (2)

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,684,521 26,053,564 13,026,782 6,513,391 19,540,174 9,770,087 29,310,262 14,655,131 43,965,394 21,982,697 65,948,092 32,974,046 16,487,023 49,461,070 24,730,535 74,191,606 37,095,803 111,287,410 55,643,705 166,931,116 83,465,558 41,732,779 125,198,338 62,599,169 187,797,508 93,898,754 46,949,377 140,848,132 70,424,066 35,212,033 105,636,100 52,818,050 26,409,025 79,227,076 39,613,538 19,806,769 59,420,308 29,710,154 14,855,077 44,565,232 22,282,616 11,141,308 5,570,654 2,785,327 8,355,982 4,177,991 12,533,974 6,266,987 18,800,962 9,400,481 28,201,444 14,100,722 7,050,361 21,151,084 10,575,542 5,287,771 15,863,314 7,931,657 23,794,972 11,897,486

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